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Monotonicity formulae and curvature equations

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dc.contributor.authorUrbas, John
dc.date.accessioned2015-12-13T22:35:13Z
dc.date.issued2003
dc.date.updated2015-12-11T09:26:48Z
dc.description.abstractWe derive local integral estimates and monotonicity formulae for certain curvature quantities related to hypersurfaces of prescribed k-th mean curvature. We use these to improve interior curvature bounds established in previous work, and to derive a local Hölder gradient estimate for admissible solutions of the equation of prescribed scalar curvature.
dc.identifier.issn0075-4102
dc.identifier.urihttp://hdl.handle.net/1885/76488
dc.publisherWalter de Gruyter
dc.sourceJournal fur Reine und Angewandte Mathematik
dc.titleMonotonicity formulae and curvature equations
dc.typeJournal article
local.bibliographicCitation.lastpage218
local.bibliographicCitation.startpage199
local.contributor.affiliationUrbas, John, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidUrbas, John, u8200976
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.ariespublicationMigratedxPub5295
local.identifier.citationvolume557
local.identifier.scopusID2-s2.0-0037279236
local.type.statusPublished Version

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